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Simplifying 7x + -3 = (2x + 6) + (3x + -3) Reorder the terms: -3 + 7x = (2x + 6) + (3x + -3) Reorder the terms: -3 + 7x = (6 + 2x) + (3x + -3) Remove parenthesis around (6 + 2x) -3 + 7x = 6 + 2x + (3x + -3) Reorder the terms: -3 + 7x = 6 + 2x + (-3 + 3x) Remove parenthesis around (-3 + 3x) -3 + 7x = 6 + 2x + -3 + 3x Reorder the terms: -3 + 7x = 6 + -3 + 2x + 3x Combine like terms: 6 + -3 = 3 -3 + 7x = 3 + 2x + 3x Combine like terms: 2x + 3x = 5x -3 + 7x = 3 + 5x Solving -3 + 7x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 7x + -5x = 3 + 5x + -5x Combine like terms: 7x + -5x = 2x -3 + 2x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x = 3 + 0 -3 + 2x = 3 Add '3' to each side of the equation. -3 + 3 + 2x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 3 + 3 2x = 3 + 3 Combine like terms: 3 + 3 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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